Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system

Kalmár‐Nagy, Tamás; Csikja, Rudolf; Elgohary, Tarek A.

doi:10.1007/s11071-016-2719-z

Cited by 15 publications

(9 citation statements)

References 35 publications

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“…2. Kalmár-Nagy et al [22] introduced a piecewise linear continuous model for the aerodynamic lift coefficient. Here we extend this model for a larger range of α eff .…”

Section: Aerodynamic Forcesmentioning

confidence: 99%

“…Nondimensionalization results in a better understanding of the physical phenomenon (via the nondimensional groups obtained) and in a reduction of system parameters [44]. Following [22] we choose the length scale L, the timescale T , and the nondimensional freestream velocity μ > 0 as…”

Section: Nondimensional Equations For Symmetric Profilesmentioning

confidence: 99%

“…The starting point of the paper by Kalmár-Nagy et al [22] was the observation that the coefficient of lift function can be well approximated by a piecewise linear function. Piecewise linear functions are often used to model free-play, nonlinear stiffness, nonlinear aerodynamic forces, and hysteresis nonlinearity in aeroelastic systems [10,[23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber

Lelkes

Kalmár‐Nagy

2020

Nonlinear Dyn

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The dynamics of a two-degrees-of-freedom (pitch–plunge) aeroelastic system is investigated. The aerodynamic force is modeled as a piecewise linear function of the effective angle of attack. Conditions for admissible (existing) and virtual equilibria are determined. The stability and bifurcations of equilibria are analyzed. We find saddle-node, border collision and rapid bifurcations. The analysis shows that the pitch–plunge model with a simple piecewise linear approximation of the aerodynamic force can reproduce the transition from divergence to the complex aeroelastic phenomenon of stall flutter. A linear tuned vibration absorber is applied to increase stall flutter wind speed and eliminate limit cycle oscillations. The effect of the absorber parameters on the stability of equilibria is investigated using the Liénard–Chipart criterion. We find that with the vibration absorber the onset of the rapid bifurcation can be shifted to higher wind speed or the oscillations can be eliminated altogether.

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“…2. Kalmár-Nagy et al [22] introduced a piecewise linear continuous model for the aerodynamic lift coefficient. Here we extend this model for a larger range of α eff .…”

Section: Aerodynamic Forcesmentioning

confidence: 99%

Section: Nondimensional Equations For Symmetric Profilesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber

Lelkes

Kalmár‐Nagy

2020

Nonlinear Dyn

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“…Wu et al 26 selected two different piecewise linear circuit systems as the subsystems of the switching system, implemented switching between the two subsystems with switch control, and analyzed the influence of nonsmooth factors and switching on system dynamics. Kalma´r-Nagy et al 27 simulated the aerodynamic force as a piecewise linear function of an effective dip angle for the aeroelastic system of the wing, established a piecewise linear aerodynamic model, determined the inherent bifurcation of the piecewise system, and observed the intermittent path of the system to chaos through numerical methods. Liu et al 28 established a roll-over dynamics model of heavy-duty vehicles and examined the influence of tire and vehicle lateral stiffness in the model in terms of vehicle attitude response after piecewise linearization.…”

Section: Introductionmentioning

confidence: 99%

“…Kalmár-Nagy et al. 27 simulated the aerodynamic force as a piecewise linear function of an effective dip angle for the aeroelastic system of the wing, established a piecewise linear aerodynamic model, determined the inherent bifurcation of the piecewise system, and observed the intermittent path of the system to chaos through numerical methods. Liu et al.…”

Section: Introductionmentioning

confidence: 99%

Periodic response characteristics on a piecewise hysteresis nonlinear system

Wang

Chen

Liu

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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A piecewise hysteresis nonlinear dynamic model with nonlinear stiffness and damping is established for a system with alternating elastic constraints and hysteresis nonlinearity. First, the amplitude-frequency response equation of the system is solved by using the averaging method under periodic excitation. Two frequency regions with multiple solutions are then identified in the system, and the amplitude-frequency response characteristics under different system parameters are obtained. Thus, the influence law of different piecewise nonlinear factors on system stability is explored. Second, the bifurcation behavior of the system under different external disturbances is analyzed. Given the change of perturbation parameters, the system is found to be a complex dynamic system with alternating periodic, double periodic, and chaotic motions, and many other forms of movement. Moreover, lower buffer damping leads to the complex and unpredictable chaotic state of the system's dynamic behavior.

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Effectivity Analysis of Operator Splitting and the Average Method

Boda

Faragó²

2022

Mathematics in Industry

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Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system

Cited by 15 publications

References 35 publications

Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber

Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber

Periodic response characteristics on a piecewise hysteresis nonlinear system

Effectivity Analysis of Operator Splitting and the Average Method

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